What is the sum of the measures of the interior angles of an octagon?

1 Answer
Sep 8, 2016

1080^@

Explanation:

To calculate the color(blue)"sum of the interior angles of a polygon" in general use.

color(red)(bar(ul(|color(white)(a/a)color(black)(180^@(n-2))color(white)(a/a)|)))
where n represents the number of sides of the polygon.

For an octagon with 8 sides, n = 8

rArr"sum of interior angles"=180^@xx(8-2)

=180^@xx6=1080^@